252198128 has 160 divisors (see below), whose sum is σ = 665957376. Its totient is φ = 89616384.

The previous prime is 252198127. The next prime is 252198161. The reversal of 252198128 is 821891252.

It is a junction number, because it is equal to n+sod(n) for n = 252198091 and 252198100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252198127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569075 + ... + 569517.

Almost surely, 2^252198128 is an apocalyptic number.

252198128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252198128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332978688).

252198128 is an abundant number, since it is smaller than the sum of its proper divisors (413759248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252198128 is a wasteful number, since it uses less digits than its factorization.

252198128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its digits is 23040, while the sum is 38.

The square root of 252198128 is about 15880.7470857010. The cubic root of 252198128 is about 631.8014518113.

The spelling of 252198128 in words is "two hundred fifty-two million, one hundred ninety-eight thousand, one hundred twenty-eight".